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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 102
Edited by:
Paper 99

On the Postbuckling Behaviour of Thin Walled Beams with In-Plane Deformable Cross-Sections

S. Gabriele, N. Rizzi and V. Varano

LaMS Modelling and Simulation Laboratory, Department of Structures
University Roma Tre, Rome, Italy

Full Bibliographic Reference for this paper
S. Gabriele, N. Rizzi, V. Varano, "On the Postbuckling Behaviour of Thin Walled Beams with In-Plane Deformable Cross-Sections", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 99, 2013. doi:10.4203/ccp.102.99
Keywords: nonlinear elasticity, kinematically exact plate theory.

In this paper a procedure for obtaining a beam model from a thin plate theory, is introduced. The starting point is the theory proposed by Koiter which describes the deformation of the plate in a kinematically exact way. By assuming some fair constraints on the plate motion, its deformation measures can be described by means of four scalar parameters that are a measure of the elongation, two bending terms and the torsion of a 1D continuum. Given that the plate is thin and made up of a material that is isotropic elastic and linear in the 2D finite strains, its strain energy is written in terms of the 1D strains. The resulting function is then given a power expansion. Taking the derivative of this expression with respect to the 1D strain measures, the constitutive functions of the corresponding stress measures are obtained. Some samples show how the procedure can be used to study the mechanical behaviour of TWBs with open cross sections.

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